Research Article
Year 2025,
Early Access, 1 - 25
Abstract
Project Number
PID2020-115155GB-I00
References
- [1] J.N. Alonso Álvarez, J.M. Fernández Vilaboa and R. González Rodríguez, On the (co)-commutativity class of a Hopf algebra and crossed products in a braided category, Comm. Algebra 29 (12), 5857-5878, 2001
Year 2025,
Early Access, 1 - 25
Abstract
In this paper, we introduce the category of brace triples in a braided monoidal setting and prove that it is isomorphic to the category of s-Hopf braces, which are a generalization of cocommutative Hopf braces. After that, we obtain a categorical isomorphism between the category of finite cocommutative Hopf braces and a certain subcategory of the category of cocommutative post-Hopf algebras, which suppose an expansion to the braided monoidal setting of the equivalence obtained for the category of vector spaces over a field $\mathbb{K}$ by Y. Li, Y. Sheng and R. Tang.
Project Number
PID2020-115155GB-I00
References
- [1] J.N. Alonso Álvarez, J.M. Fernández Vilaboa and R. González Rodríguez, On the (co)-commutativity class of a Hopf algebra and crossed products in a braided category, Comm. Algebra 29 (12), 5857-5878, 2001
There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Category Theory, K Theory, Homological Algebra |
| Journal Section | Mathematics |
| Authors | |
| Project Number | PID2020-115155GB-I00 |
| Early Pub Date | April 11, 2025 |
| Publication Date | |
| Submission Date | July 22, 2024 |
| Acceptance Date | February 19, 2025 |
| Published in Issue | Year 2025 Early Access |